20. Use the work-energy theorem to find the force required to accelerate an electron (m= 9.11 x 10-31 kg) moving along the x axis from 4.00 x 106 m/s to 1.60 x 107 m/s in a distance of 0.0125 m.

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**Problem 20: Work-Energy Theorem Application**

Use the work-energy theorem to find the force required to accelerate an electron (mass \( m = 9.11 \times 10^{-31} \) kg) moving along the x-axis from \( 4.00 \times 10^6 \) m/s to \( 1.60 \times 10^7 \) m/s over a distance of 0.0125 m.

**Options:**

A) \( 8.75 \times 10^{-15} \) N  
B) \( 5.47 \times 10^{-22} \) N  
C) \( 8.20 \times 10^{-17} \) N  
D) \( 1.64 \times 10^{-14} \) N  
E) \( 3.56 \times 10^{-19} \) N  

**Explanation:**

This problem is designed to apply the work-energy theorem, which states that the work done on an object is equal to its change in kinetic energy. Given the mass of the electron and both its initial and final velocities, along with the distance over which this change occurs, you can determine the force required using this principle.
Transcribed Image Text:**Problem 20: Work-Energy Theorem Application** Use the work-energy theorem to find the force required to accelerate an electron (mass \( m = 9.11 \times 10^{-31} \) kg) moving along the x-axis from \( 4.00 \times 10^6 \) m/s to \( 1.60 \times 10^7 \) m/s over a distance of 0.0125 m. **Options:** A) \( 8.75 \times 10^{-15} \) N B) \( 5.47 \times 10^{-22} \) N C) \( 8.20 \times 10^{-17} \) N D) \( 1.64 \times 10^{-14} \) N E) \( 3.56 \times 10^{-19} \) N **Explanation:** This problem is designed to apply the work-energy theorem, which states that the work done on an object is equal to its change in kinetic energy. Given the mass of the electron and both its initial and final velocities, along with the distance over which this change occurs, you can determine the force required using this principle.
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